Cremona's table of elliptic curves

7800 = 2³ · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 13+	Signs for the Atkin-Lehner involutions
Class	7800n	Isogeny class
Conductor	7800	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	421200000000 = 210 · 34 · 58 · 13	Discriminant
Eigenvalues	2- 3+ 5+ -4  0 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-14040008,-20244113988]	[a1,a2,a3,a4,a6]
j	19129597231400697604/26325	j-invariant
L	0.62394699907259	L(r)(E,1)/r!
Ω	0.077993374884073	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15600p3 62400de4 23400l4 1560h3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7800n3

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	+	-4	0	+	-2	0	0	-2	-4	-6	-6	-4	4	10	0	-2	-8	4	6	-8	-8	-6	14

---

Quadratic twists for elliptic curve 7800n3

-4	8	-3	5	13
15600p3	62400de4	23400l4	1560h3	101400k4

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations